There
is a very strong correlation in London with seats held at Westminster
and seats where parties have a majority of councillors. There is
obviously a strong correlation everywhere, but it is strongest in
London, largely because the councillors and MPs were elected at the same
time

Of the 28 Conservative held seats, 22 have a majority of
Conservative councillors and another 1 has a plurality. There are two
seats where the Conservatives are tied with Labour on the number of
councillors which leaves three Conservative held seats where another
party has a majority of councillors, namely:Hornchurch & Upminster where the Residents do and Enfield North and Harrow East where Labour does.In
the case of Harrow East the Conservatives won a majority (14/13) in
2010 but one of their councillors has defected to Labour via a spell as
an Independent giving Labour a majority

Of the 38 Labour held
seats 34 have a majority of Labour councillors and 1 has a plurality.
This one, Poplar & Limehouse, returned a majority of Labour
councillors in 2010 but they have lost that majority through defections.
This leaves three seats where another party has a majority or a
plurality, namely: Hampstead & Kilburn has a LD plurality. Tooting and Westminster North have Conservative majorities

Of
the 7 LD held seats 6 have a majority of LD councillors with the only
exception being Brent Central which has a Labour majority

There are a number of constituencies here where a single party holds all the council seats:Conservative:
Beckenham; Bromley & Chislehurst; Chelsea & Fulham; Cities of
London & Westminster (Westminster wards only); Croydon South; Old
Bexley & Sidcup; RomfordLabour: East Ham; Croydon North; Hackney South & Shoreditch; West HamIn
2010 the Conservatives also won all the seats in Ruislip, Northwood
& Pinner and Labour did in Barking and in Camberwell & Peckham
but these no longer have 100% representation due to councillors
defecting or expulsions